Open Access
Commutative Algebra I
Reads0
Chats0
TLDR
A compilation of two sets of notes at the University of Kansas was published in the Spring of 2002 by?? and the other in the spring of 2007 by Branden Stone.Abstract:
1 A compilation of two sets of notes at the University of Kansas; one in the Spring of 2002 by ?? and the other in the Spring of 2007 by Branden Stone. These notes have been typedread more
Citations
More filters
Journal ArticleDOI
A generalization of the cellular indecomposable property via fiber dimension
Guozheng Cheng,Xiang Fang +1 more
TL;DR: In this paper, the cellular indecomposable property for the vector-valued case was reformulated using the fiber dimension to reformulate the property such that it naturally extends the scalarvalued case, yet fix the vectorvalued case in a meaningful way.
Journal ArticleDOI
Structure of virtually semisimple modules over commutative rings
TL;DR: In this article, the authors carried out a study of virtually semisimple modules over a commutative ring R, where every submodule is isomorphic to a direct summand.
Posted Content
On Isodual Cyclic Codes over Finite Fields and Finite Chain Rings: Monomial Equivalence
TL;DR: This paper presents the construction cyclic isodual codes over finite fields and finite chain rings, which are monomially equivalent to their dual.
Journal ArticleDOI
A bound for the degree of a system of equations determining the variety of reducible polynomials
TL;DR: In this article, it was proved that the variety of reducible polynomials in the affine space of homogeneous polynomial equations of degree d in n + 1 variables with coefficients from the algebraic closure K of a field K of arbitrary characteristic can be given by a system of equations with degree less than 56d7 in N variables.
Journal ArticleDOI
Some results on top local cohomology and top formal local cohomology modules
TL;DR: In this article, a relation between top local cohomology and top formal local c... is found between a complete noetherian local ring and a finitely generated R-module of dimension n and an ideal of R.
References
More filters
Book
Introduction to Commutative Algebra
TL;DR: It is shown here how the Noetherian Rings and Dedekind Domains can be transformed into rings and Modules of Fractions using the following structures: